Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 1101212: Find the value of k so that the graph of y=(x+5)2+k passes through the point (−2,−7)

Thank you so much for your help!!
Click here to see answer by richwmiller(17219)

Question 1101264: Determine whether a quadratic model exists for the set of values below. If so, write the model.
f(0)=4 f(2)=6 f(-1)=9
Click here to see answer by Fombitz(32388)

Question 1101275: /Users/19emmalcom/Desktop/Screen Shot 2017-11-13 at 12.44.22 PM.png
Click here to see answer by ikleyn(52754)

Question 1101275: /Users/19emmalcom/Desktop/Screen Shot 2017-11-13 at 12.44.22 PM.png
Click here to see answer by richwmiller(17219)

Question 115783: A projectile is thrown upward so that the its distance above the ground after t seconds is h(t)=-16t^2+308t
After how many seconds does it reach its maximum height?
What is that maximum height?
The area of a square is numerically 12 more than the perimeter. Find the length of the side?
These two problems are really hard can anyone help.
Click here to see answer by amalm06(224)

Question 1101589: The quadratic equation of -5 n 2 is??

Click here to see answer by Alan3354(69443)

Question 1101646: How would I make the equation f(x)=[-7/80](x-0)(x-40), which is in intercept form, into standard form and then into vertex form? ([-7/80] is a fraction)
Click here to see answer by josgarithmetic(39613)

Question 1101707: Pocahontas wants to impress John Smith by doing a cliff dive the height of the cliff is 72 feet from the water. she reaches a maximum height at 75 feet in half a second how long does it take her to hit the water.
Click here to see answer by josmiceli(19441)

Question 1101750: How do you solve y=-(x-1)^2-1
Click here to see answer by Alan3354(69443)

Question 1101750: How do you solve y=-(x-1)^2-1
Click here to see answer by ankor@dixie-net.com(22740)

Question 1101936: Solve the following graphically and algebraically showing your work.
Katie makes and sells scarves. Her monthly profit is given by P(s) = -s2 + 25s - 100, where "s" is the selling price. For what range of prices can Katie sell the scarves, in order to make a profit? (For what values of "s" will -s2 + 25s - 100 be greater than 0?)

Click here to see answer by Boreal(15235)

Question 1101947: A rectangle has a length of 27 inches less than 5 times its width. If the area of the rectangle is 3690 square inches, find the length of the rectangle.
Click here to see answer by josgarithmetic(39613)

Question 1102067: 1/x+1/x+2+1/15=2/8
Click here to see answer by josgarithmetic(39613)

Question 1102193: The hypotenuse of a right triangle is 2 ft less than three times the shortest leg. The longer leg is 3 ft less than three times the shorter leg. Find the length of each side of the triangle.
Click here to see answer by richwmiller(17219)

Question 1102345: Why do you divide both sides with (a)
Click here to see answer by Alan3354(69443)

Question 1102346: What is the name of that sign that looks like minus
Click here to see answer by Alan3354(69443)

Question 1102347: Why was it divided by a
Click here to see answer by Lightning_Fast(78)

Question 1102367: What is the quadratic function that is created with roots -10 and -4 and a vertex at (-7, -9)? Please help!!!
Click here to see answer by richwmiller(17219)

Question 1102367: What is the quadratic function that is created with roots -10 and -4 and a vertex at (-7, -9)? Please help!!!
Click here to see answer by ikleyn(52754)

Question 1102446: divide 60 into two parts such that the three times one of the parts together with 4times the other equals 200
Click here to see answer by josgarithmetic(39613)

Question 1102451: Find three consecutive numbers such that the sum of the second and third exceeds the first by 24
Click here to see answer by Alan3354(69443)

Question 1102449: A number is as much greater than 12 as it is less than 38. find the numbers
Click here to see answer by Theo(13342)

Question 1102449: A number is as much greater than 12 as it is less than 38. find the numbers
Click here to see answer by Alan3354(69443)

Question 1102449: A number is as much greater than 12 as it is less than 38. find the numbers
Click here to see answer by josgarithmetic(39613)

Question 1102449: A number is as much greater than 12 as it is less than 38. find the numbers
Click here to see answer by abhayp(1)

Question 1102541: I need your help on Algebra, please please I am Dying
Click here to see answer by Edwin McCravy(20054)

Question 1102541: I need your help on Algebra, please please I am Dying
Click here to see answer by Alan3354(69443)

Question 1102686: Write a quadratic equation with the solutions 3i, -3i.
I got , but can 0x be correct? Did I write it wrong, or is this just the wrong answer?

Thank you!
Click here to see answer by ikleyn(52754)

Question 1102687: The area of a rectangular wall in a classroom is 308 feet. Its length is 5 feet shorter than three times its width. Find the length and width of the wall of the classroom.
So the equation is w(3w-5)=308, right? and that turns into . And then you complete the square? But I can seem to be able to find any real solutions. Can you help?

Thank you in advance!
Click here to see answer by Alan3354(69443)

Question 1102688: The formula P=0.67x2�0.042x + 1 models the approximate population (P), in thousands, for a species of fish in a local pond, x years after 1997. During what year will the population reach 54,892 fish?

I got about 2090 using the quadratic equation. However, the fact that I had to round to get a whole answer makes me think I got it wrong. Is it correct?
Click here to see answer by Boreal(15235)

Question 1102684: how to find the optimal value in the equation. y =1.723+0.005x - 0.0005x^2+0.00001528x^3
Click here to see answer by Edwin McCravy(20054)

Question 1102703: The product of two consecutive odd integers is 31 more than twice there sum find the integers
Click here to see answer by ikleyn(52754)

Question 1102740: Find the possible value of k for which the quadratic expression 9x^2-2(k+7)x+k is a perfect square.
Click here to see answer by greenestamps(13195)

Question 1102847: the members of a gardening club decided to spend $36 on buying garden tools and they found that a rake and a travel together cost $7. If they spent all the money on rakes alone, they could buy 3 more tools than they could if they spent all the money on trowels.
a) By taking the cost of atrowel as $q, write down expression in terms of q for i) the cost of a rake
ii) the number of rakes which could be bought for $36.
b) write down an equation which q must satisfy, and show that it reduces to q^2+17q-84=0.

Click here to see answer by Theo(13342)

Question 1102926: Please help me with this equation x^2+8x=0
Click here to see answer by josgarithmetic(39613)

Question 1102926: Please help me with this equation x^2+8x=0
Click here to see answer by Alan3354(69443)

Question 1103027: hi can some please explain this to me.
find the x-intercept of y=x^2-4x-32 by factoring.
Thank you
Click here to see answer by Alan3354(69443)

Question 1103086: What is the solution of the linear-quadratic system of equations?
y=x^2+5x-3
y=-x=2
A step-by-step on how to solve this would be great because I'm really stuck on this question. Thank you in advance!
Click here to see answer by Alan3354(69443)

Question 1103090: What is the solution of the linear-quadratic system of equations?
y=x^2+5x-3
y-x=2
Click here to see answer by stanbon(75887)

Question 1103090: What is the solution of the linear-quadratic system of equations?
y=x^2+5x-3
y-x=2
Click here to see answer by Boreal(15235)

Question 1103103: Joel was given this function.
f( x )=2x2−12x+12
He used the method of completing the square to rewrite the function. In this second step of his process, r and s are real numbers.
f( x )=2( x2−6x+r )+12+s
What are the values of r and s?
Thank you!!!
Click here to see answer by josgarithmetic(39613)

Question 1103122: Solve: x^4 � 10x + 9 = 0
Click here to see answer by greenestamps(13195)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240